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Geometry Terms IM1 Ch 8
Different terms, postulates, and theorems for IM1 Geometry Topics
Terms in this set (37)
An exact location represented by a dot, has no dimensions.
A straight path that goes without end in two directions.
An endless flat surface with two dimensions.
Existing on the same line, for example, three points on a line.
points that lie on the same plane
part of a line with two endpoints
points on the ends of line segments or rays
A part of a line, with one endpoint, that continues without end in one direction
two rays that have a common endpoint and form a line
The points on a line can be matched with the real numbers, which can be used to find the distance between two points.
line segments that have the same length
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
any segment, line, or plane that intersects a segment at its midpoint
A point that divides a segment into two congruent segments
The distance between two coordinate pairs: d = √[( x₂ - x₁)² + (y₂ - y₁)²]
having an outline or surface curved like the exterior of a circle or sphere.
having an outline or surface that curves inward like the interior of a circle or sphere.
the circle that contains the vertices of an inscribed polygon
the sum of the lengths of the sides of a polygon
Area of a Triangle
a ray that divides an angle into two congruent angles
Two angles whose sum is 90 degrees
Two angles whose sum is 180 degrees
A pair of adjacent angles whose noncommon sides are opposite rays.
Angles that have a common side and a common vertex (corner point).
two nonadjacent angles formed by two intersecting lines
an angle that measures less than 90 degrees
An angle that measures more than 90 degrees but less than 180 degrees
an angle that measures 90 degrees
Intersecting at or forming right angles
Two Point Postulate
Through any two points there exists exactly one line
A line contains at least two points
Line Intersection Postulate
If two lines intersect, then their intersection is exactly one point
Three Point Postulate
Through any three noncollinear points there exists exactly one plane
A plane contains at least three noncollinear points
If two points lie in a plane, then the line containing them lies in the plane
Plane Intersection Postulate
If two planes intersect, then their intersection is a line.
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